I wish I had a clue on what to look at next, and I don't have a clue as to what that chrome box is on the firewall either. My guess is that it is for some aftermarket add-on. Troubleshooting electrical problems remotely is really hard. I don't have my FSM with me, do you have the name for F-20 (fuse) purpose? I know you said it seems to be for the ASD relay but... One more thing, do you have any diagnostic trouble codes that could help diagnose the problem? So long as it's not a '98-'00 or so, you can turn the ignition key on-off-on three times within five seconds & after leaving it in the on position, give it some time to go through the diagnostics. It may display a code in the odometer that can be a big help in troubleshooting this. But I would also put this out in the main forum where you'll get more eyes on it.